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Finding the Fourth Proportional to 386,187,265,978.45, 579,280,898,967.70 and 386,187,265,978.45

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Solution

The fourth proportional to 386,187,265,978.45, 579,280,898,967.70 and 386,187,265,978.45 is: 579,280,898,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,187,265,978.45 : 579,280,898,967.70 = 386,187,265,978.45 : x
  2. Step 2: Convert to fraction form
    386,187,265,978.45/579,280,898,967.70 = 386,187,265,978.45/x
  3. Step 3: Cross multiply
    386,187,265,978.45x = 579,280,898,967.70 × 386,187,265,978.45
  4. Step 4: Simplify right side
    386,187,265,978.45x = 223,710,906,605,874,775,588,864
  5. Step 5: Solve for x
    x = 223,710,906,605,874,775,588,864/386,187,265,978.45
  6. Step 6: Final answer
    x = 579,280,898,967.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.